Chaotic flows with special equilibria

Z Wang, Z Wei, K Sun, S He, H Wang, Q Xu… - The European Physical …, 2020 - Springer
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …

Chaos in analog electronic circuits: Comprehensive review, solved problems, open topics and small example

J Petrzela - Mathematics, 2022 - mdpi.com
This paper strives to achieve a comprehensive review of chaos in analog circuits and
lumped electronic networks. Readers will be guided from the beginning of the investigations …

Optimization and CMOS design of chaotic oscillators robust to PVT variations

VH Carbajal-Gomez, E Tlelo-Cuautle… - Integration, 2019 - Elsevier
Edward Lorenz was an early pioneer of the chaos theory. He discovered that small changes
in initial conditions produce large changes in long-term outcome, and introduced a chaotic …

[PDF][PDF] A novel mega-stable chaotic circuit

VT Pham, DS Ali, NMG Al-Saidi, K Rajagopal… - …, 2020 - academia.edu
In recent years designing new multistable chaotic oscillators has been of noticeable interest.
A multistable system is a double-edged sword which can have many benefits in some …

[HTML][HTML] Chaotic and hyperchaotic dynamics of a Clapp oscillator

J Petrzela - Mathematics, 2022 - mdpi.com
This paper describes recent findings achieved during a numerical investigation of the circuit
known as the Clapp oscillator. By considering the generalized bipolar transistor as an active …

Minimal realizations of autonomous chaotic oscillators based on trans-immittance filters

J Petrzela, L Polak - IEEE Access, 2019 - ieeexplore.ieee.org
This review paper describes a design process toward fully analog realizations of chaotic
dynamics that can be considered canonical (minimum number of the circuit elements) …

Hyperchaotic self-oscillations of two-stage class C amplifier with generalized transistors

J Petrzela - IEEE Access, 2021 - ieeexplore.ieee.org
This paper yields process of development, numerical analysis, lumped circuit modeling, and
experimental verification of a new hyperchaotic oscillator based on the fundamental …

Chaotic states of transistor-based tuned-collector oscillator

J Petrzela - Mathematics, 2023 - mdpi.com
This brief paper shows that robust chaotic behavior can be detected within a tuned-collector
single-stage transistor-based oscillator. The content of this work also contributes to the …

Chaotic Steady States of the Reinartz Oscillator: Mathematical Evidence and Experimental Confirmation

J Petrzela - Axioms, 2023 - mdpi.com
This paper contributes to the problem of chaos and hyperchaos localization in the
fundamental structure of analog building blocks dedicated to single-tone harmonic signal …

Analysis of a chaotic system with line equilibrium and its application to secure communications using a descriptor observer

L Moysis, C Volos, VT Pham, S Goudos, I Stouboulos… - Technologies, 2019 - mdpi.com
In this work a novel chaotic system with a line equilibrium is presented. First, a dynamical
analysis on the system is performed, by computing its bifurcation diagram, continuation …